You deposit $4500 in an account that earns 2% per year simple interest. The
equation that represents this situation is:
A(n) = 4500 + (n − 1)(0.02.4500)
-
How much will you have in the account at the beginning of the 7th year?
Round your answer to the nearest dollar.
A. $5040
OB. $5130
OC. $4590
D. $9900
Answers
Answer:
based on the given formula the amount calculated is for the beginning of the year.
substituting 1 you get 4500 which is beginning of the year 1 when you deposited.
based on that logic substituting 7 for beginning of year 7 will be
4500 + 6 * 0.02 * 4500
4500 + 540
5040
option A.
Related Questions
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in.. Find P98. That is, find the hip breadth for men that separates the smallest 98% from the largest 2
Answers
Answer:
P98 = 16.154in
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in.
This means that \(\mu = 14.4, \sigma = 1\)
Find P98
This is the 98th percentile, that is, X when Z has a pvalue of 0.98, so X when Z = 2.054.
\(Z = \frac{X - \mu}{\sigma}\)
\(2.054 = \frac{X - 14.1}{1}\)
\(X = 2.054 + 14.1\)
\(X = 16.154\)
So
P98 = 16.154in
In terms of geometric shapes, a slice of pizza closely resembles what?
Answers
Answer:
triangle
Step-by-step explanation:
It looks like a traingle
2x = 1/32 find the value of x
Answers
Answer:
x = 64
Step-by-step explanation:
2/x = 1/32
cross multiply
2 × 32 = x × 1
64 = 1x
64 = x
can u pls help me with this question
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', the equation becomes
y ∝ x
y = kx
where 'k' is called the constant of proportionality.
From the table, it is clear that 'y' varies directly with 'x'
Let us check the value of k for all the points
k = y/x
For the point (130, 9.10)
k = 9.10 / 130 = 0.07For the point (145, 10.15)
k = y/x = 10.15 / 145 = 0.07For the point (150, 10.50)
k = y/x = 10.50 / 150 = 0.07For the point (185, 12.95)
k = y/x = 12.95 / 185 = 0.07Thus, the value of proportionality constant is same.
i.e. k = 0.07
Determining the cost of 21 feet of the wire
And need 21 feet of the wire.21 feet = 252 inch
Using the equation
y = kx
where y represents the cost and x represents the length in inchesThus, the cost of 252-inch wire will be:
y = kx
substituting k = 0.07, and x = 252
y = 0.07 × 252
y = 17.64 Dollars
Thus, the cost of 21 feet wire will be: 17.64 Dollars
Determining the cost of 15 yards of the wire
Emily needs 15 yards of the wire.15 yards = 540 inches
Using the equation
y = kx
where y represents the cost and x represents the length in inchesThus, the cost of 15 yards of wire will be:
y = kx
substituting k = 0.07, and x = 540
y = 0.07 × 540
y = 37.8 Dollars
Thus, the cost of 15 yards of wire will be: 37.8 Dollars
Pls help
Nine hundred people who attended a movie were asked whether they enjoyed it. The table shows the results. Enjoyed Did Not Enjoy Total Children 461 Adults 277 114 Total 738 162 900 How many more children were surveyed than adults? Enter a numerical answer only. children
Answers
Answer:
118
Step-by-step explanation:
The children that did not enjoyed :
162-114=48
Total adults =277+114
=391
Total children =48+461
=509
Total children - total adults
509-391=118
Thus, 118 more children were surveyed than adults
The temperature on Thursday afternoon was 77 °F. A thunderstorm rolled through, and the temperature dropped by 10 °C. What was the temperature after the storm?
Answers
Answer:
15 °C
Step-by-step explanation:
°C = (°F - 32) * (5/9)
Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.
Initial temperature: 77 °F
Converting to Celsius:
°C = (77 - 32) * (5/9)
°C ≈ 25
The temperature dropped by 10 °C, so the final temperature is:
Final temperature = Initial temperature - Temperature drop
Final temperature ≈ 25 - 10 = 15 °C
Therefore, the temperature after the storm was approximately 15 °C.
Hey Guys, Please help me I decided to lesson the questions
Answers
Answer:
Step-by-step explanation:
im pretty sure its the 1st one
Negative six multiplied by negative ten is subtracted from eight multiplied by five. Find the number
Answers
Answer:
The answer is -20.
Step-by-step explanation:
(8 × 5) - (-6 × -10)
= 40 - 60
= -20
Now we have 40-60=-20.
The answer is -20
Complete the square and put this function in vertex form: f(x)=x^2+20x+96
Answers
Answer:
f(x) = (x+10)^2 - 4
Step-by-step explanation:
vertex form is y = a(x-h)^2+k
to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something
to find that number take 20, divide by 2, and then square it to get 100.
so, you would get f(x)+100 = x^2+20x+100+96
subtract 96 on both sides: x^2+20x+100 = f(x) + 4
factor: f(x) = (x+10)^2 - 4
GEOMETRY 100 POINTS
Find the length of BC
Answers
Answer:
x = 16
Step-by-step explanation:
Opposite sides are equal in a parallelogram
AD = BC
5x - 12 = 3x + 20
5x - 3x = 20 + 12
2x = 32
x = 32/2
x = 16
Find the composition: g(f(x)) f(x)=x2 g(x)=x−4
A x2−8x+16
B x2+16
C x2−4
D x2+4
Answers
Answer:
C
Step-by-step explanation:
just put the value of f in the place of the x in g
pls help immediately!!!!
Answers
Need help ASAP ! Determine whether the following polygons are similar.
Answers
Answer:
they are not similar because you can't multiply both sides given by the same number to get the second polygon
Answer:
NO THEY arent
Step-by-step explanation:
if you were to multiply both, you wouldnt get the same answer also the scale factor isnt the same.
What value of x makes this equation true 5(x-3)=20
Answers
Answer:
X=7
Step-by-step explanation:
5x - 15 =20
5x=15+30
5x=35
Divide by 5
X=7
What is the domain of the graph below.
Answers
Answer:
acbs
Step-by-step explanation:
HELP ITS URGENTGKHJLKGFHHB
Answers
b) one of the shapes present is a triangle. It’s area is 1/2bh, or 1/2(6)(8). The area is 24m^2. The area of the square is 9m x 6m = 54m^2. We add these two to get the total area of the shape: 78m^2
c) A line can be drawn separating the shape into two rectangles. One rectangle can be shown having a width of 3cm and a length of 10cm. We multiply this to get an area of 30cm^2. We need to find the length of the second rectangle before we can find the area. We can do this by subtracting 3cm from 12cm to get 9cm. We now multiply 9x2=18. The area is 18cm^2. Add this to 30 to get the shapes total area of 48cm^2.
Is this right? PLEASE HELP
Answers
Answer:
I got
2x^4u^4-6+9x^3u^2/ux^2
Step-by-step explanation:
Photo wrong only at the end u^2
The body mass index (BMI) of a person is the person’s weight divided by the square of his or her height. It is an indirect measure of the person’s body fat and an indicator of obesity. Results from surveys conducted by the Centers for Disease Control and Prevention (CDC) showed that the estimated mean BMI for US adults increased from 25.0 in the 1960–1962 period to 28.1 in the 1999–2002 period.
Suppose you are a health researcher. You conduct a hypothesis test to determine whether the mean BMI of US adults in the current year is lower than the mean BMI of US adults in 2000. Assume that the mean BMI of US adults in 2000 was 28.1 (the population mean). You obtain a sample of BMI measurements of 1,034 US adults, which yields a sample mean of M = 28.9. Let μ denote the mean BMI of US adults in the current year.
Required:
Formulate your null and alternative hypotheses by selecting the appropriate values in the blue dropdown menus that follow.
Answers
Answer:
The null hypothesis is \(H_o : \mu = 28.1\)
The alternative hypothesis is \(H_a : \mu < 28.1\)
Step-by-step explanation:
From the question we are told that
The population mean at 1960 - 1962 is \(\mu_1 = 25.0\)
The population mean at 1999- 2002 is \(\mu_2 = 28.1\)
The sample size is n= 1034
The sample mean is \(M = 28.9\)
The null hypothesis is \(H_o : \mu = 28.1\)
The alternative hypothesis is \(H_a : \mu < 28.1\)
PLEASE HELP ME
6. Frankie graphed a quadratic function with a
vertex in Quadrant I. Which of the following
could be Frankie's function?
a. f(x) = -3x2 + 24x – 4
b. f(x) = x2 – 2x + 10
c. Both a and b
d. Neither a nor b
Answers
I took the test
HELPPP ME PRECAL CLASS
Answers
the answer is g(x)= (x+6).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
from the given , we get,
f(x)=x^4
and, f(g(x))= (x+6)^4
hence, the answer is g(x)= (x+6).
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Owen has enough materials to build up to 10 birdhouses in shop class. Each birdhouse needs 12 square feet of wood. The function W(b) = 12b represents the total amount of wood that Owen would need to build b birdhouses. What domain and range are reasonable for the function? A. D: 0 ≤ b ≤ 10 R: 0 ≤ W(b) ≤ 120 B. D: 0 ≤ b ≤ 120 R: 0 ≤ W(b) ≤ 10 C. D: 0 ≤ b ≤ 10 R: 12 ≤ W(b) ≤ 120 D. D: 10 ≤ b ≤ 12 R: 0 ≤ W(b) ≤ 120
Answers
Answer:
A. D: 0 ≤ b ≤ 10 R: 0 ≤ W(b) ≤ 120
Step-by-step explanation:
Since b represents the number of birdhouses, it is reasonable for that to have non-negative values. The maximum material availability means that b > 10 is not of practical use. This eliminates choices B and D.
Since W represents the amount of wood required for b birdhouses, it is reasonable for the range of it to match 12 times the domain: 12·0 = 0 to 12·10 = 120. This eliminates choice C.
The appropriate choice is ...
A. D: 0 ≤ b ≤ 10 R: 0 ≤ W(b) ≤ 120
What is the difference between |-3|and -3?
Answers
Answer:
c vbnnbvgh3456789okjhgc
Step-by-step explanation:
Answer:
the difference between |-3| and -3 is -3 because |-3| is actually 3... when a negative number is one these lines | | such as |-3| it becomes positive.
Step-by-step explanation:
so the difference between 3 and -3 is -3
your answer is -3
hope this helps!!!
Classify Tas rational or irrational and explain why.А.Rational because it equals 3.14B.Rational because it equals 22CCSD Grade 8UC.Irrational because it has its own symbolCourseMath 01Teacher PrinceDIrrational because it is not equal to any terminating or repeating decimal
Answers
Rational numbers are those that can be expressed as fractions or ratios between two whole numbers while irrational numbers are those that cannot be expressed as a fraction or ratio between two integers.
Pi is an irrational number with infinite non repeating decimal values.
It cannot be expressed as a fraction.
60units needed 14 units per case what's the #of cases & # of additional units
Answers
There will be 5 cases and 10 additional units.
Here, we are given that 60 units are needed with 14 units per case.
The total number of units required = 60
Units required for 1 case = 14
Let the total number of cases = n
Thus, total number of units required for n cases = 14n
⇒ 60 = 14n
14n = 60
n = 60/ 14
n = 4.285
Thus, we get that the number of cases = 4.285
But, since cases cannot be in decimals, we need to round off n to 5 ( as 4 cases won't add up to 60).
Thus, the total number of cases are 5.
Additional units = 14 × 5 - 60
= 70 - 60
= 10
Thus, the number of additional units are 10.
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x = [ √(a+2) + √(a-2) ]/[ √(a+2) - √(a-2) ], then a =? the correct answer is a = x+(1/x). explain
how.
![x = [ (a+2) + (a-2) ]/[ (a+2) - (a-2) ], then a =? the correct answer is a = x+(1/x). explainhow.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/OJCQ19Axpf8JKTOvfGU2jdpwVe4vd3wO.jpeg)
Answers
The inverse of the radical equation x = [√(a + 2) + √(a - 2)] / [√(a + 2) - √(a - 2)] is the equation a = x + 1 / x. (Correct choice: A)
How to clear a variable in a radical equation
In this problem we find the case of a radical equation in explicit form, that is, a variable x only in terms of a variable a, and we need to obtain the inverse of the function, that is, an expression in terms of a variable x. This problem can be solved by algebra properties.
First, write the original equation:
x = [√(a + 2) + √(a - 2)] / [√(a + 2) - √(a - 2)]
Second, rationalize the expression:
x = [[√(a + 2) + √(a - 2)] · [√(a + 2) + √(a - 2)]] / [[√(a + 2) - √(a - 2)] · [√(a + 2) + √(a - 2)]]
x = [√(a + 2) + √(a - 2)]² / [(a + 2) - (a - 2)]
x = [a + 2 - 2 ·√(a² - 4) + a - 2] / 4
x = [a - √(a² - 4)] / 2
2 · x = a - √(a² - 4)
Third, eliminate the square root operator by algebra properties:
√(a² - 4) = a - 2 · x
a² - 4 = (a - 2 · x)²
Fourth, find the solution to the expression:
a² - 4 = a² - 4 · x · a + 4 · x²
- 4 = - 4 · x · a + 4 · x²
1 = x · a - x²
1 + x² = x · a
a = (1 + x²) / x
a = 1 / x + x
a = x + 1 / x
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Explain why 16 to the power of 1/2 is equal to 4. Give as much detail as possible. FIRST ONE TO ANSWER GETS BRAINLIEST
Answers
Answer:
4
Step-by-step explanation:
16^1/2 = sqrt(16) = 4
4*4 = 16
Could Someone help me fill in the blanks for this problem?
Answers
Based on given question question, following are the answers of blanks based on Midpoint Theorem.
- ∠ECD ≅ ∠BCA [Vertically opposite angle]- ∠D ≅ ∠A [Alternate interior angle]Given, ∠DEC ≅ ∠ABCC is the midpoint of D and A1.) Definition of midpoint
The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side.
2.) ∠ECD ≅ ∠BCA [Vertically opposite angle]
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other.
3.) ∠D ≅ ∠A [Alternate interior angle]
When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.
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The figure below shows a circle with segment AB as it's diameter. The center of the circle is NOT known. A square needs to be inscribed in the circle with A and B as a pair of opposite vertices.
Which step will be used in the construction? PLEASE HELP
A. constructing four arcs on the circles circumference with the compass width as the radius
B. constructing a segment that is tangent to the circle at point A
C. constructing a perpendicular to a line segment through a point not lying on it.
D. constructing a perpendicular bisector of a line segment.
Answers
Answer:
its b i took the test
Step-by-step explanation:
What is the length of the line segments with endpoints (-9,5) and (12,5)
A. 12
B. 9
C. 21
D. 10
Answers
Answer:
The answer is C
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
what number is 8% larger than 230
Answers
Answer:
That number is 230 × 1.08 = 248.4.
To find this number, we calculated 8% of 230, which is 18.4 , and then added it to 230, Hence The number that is 8% larger than 230 is 248.4.
How to solve for the numberTo find a number that is 8% larger than 230, we can calculate the 8% increase of 230 and add it to the original number.
Step 1: Calculate the 8% increase of 230:
8% of 230 = (8/100) * 230 = 0.08 * 230 = 18.4
Step 2: Add the 8% increase to 230:
230 + 18.4 = 248.4
Therefore, a number that is 8% larger than 230 is 248.4.
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